Search a number
-
+
4243312224 = 25334911241
BaseRepresentation
bin1111110011101011…
…1100111001100000
3101221201112121002000
43330322330321200
532142241442344
61541020524000
7210103362444
oct37472747140
911851477060
104243312224
11188826a308
129a50b0600
13528162048
142c37ac824
1519c7d7a69
hexfcebce60

4243312224 has 48 divisors (see below), whose sum is σ = 12376329840. Its totient is φ = 1414437120.

The previous prime is 4243312211. The next prime is 4243312243. The reversal of 4243312224 is 4222133424.

4243312224 is a `hidden beast` number, since 4 + 2 + 433 + 1 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2454757 + ... + 2456484.

It is an arithmetic number, because the mean of its divisors is an integer number (257840205).

Almost surely, 24243312224 is an apocalyptic number.

It is an amenable number.

4243312224 is an abundant number, since it is smaller than the sum of its proper divisors (8133017616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4243312224 is a wasteful number, since it uses less digits than its factorization.

4243312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911260 (or 4911246 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 4243312224 is about 65140.7109571273. The cubic root of 4243312224 is about 1618.9558154469.

Adding to 4243312224 its reverse (4222133424), we get a palindrome (8465445648).

The spelling of 4243312224 in words is "four billion, two hundred forty-three million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4911241 9822482 14733723 19644964 29467446 39289928 44201169 58934892 78579856 88402338 117869784 132603507 157159712 176804676 235739568 265207014 353609352 471479136 530414028 707218704 1060828056 1414437408 2121656112 4243312224